Title: Multi-echelon supply chain inventory model for perishable items with fuzzy deterioration rate and imperfect production with two-warehouse under inflationary environment

Authors: Surendra Vikram Singh Padiyar; Vandana Gupta; Neelanjana Rajput

Addresses: Department of Mathematics, Government Degree College, Haldwani, India ' Department of Mathematics, Inderprastha Engineering College, Ghaziabad, India ' Department of Mathematics, D.B.S. College, Dehradun, India

Abstract: This paper considers the supply chain (SC) model and develops a model for vendor, supplier, and buyer. Here deterioration rate is uncertain, therefore, deterioration rate is taken as triangular fuzzy number, and defuzzify the total cost by using singed distance method (SDM). Here items with imperfect quality. In this model, supplier uses two-warehouse (TW) to reduce the storage problem, one is own-warehouse (OW) and other is rented warehouse (RW). Here, demand is exponential for vendor and supplier, and stock-dependent for the buyer. Shortage is applicable only at the buyer's end, which is partially backlogged. The objective of this study is to minimise the total cost, as well as it was found that if vendor increases the production rate, then the total cost is coming down in both crisp model and fuzzy model. We have illustrated the model by a numerical example and sensitivity analysis.

Keywords: multi-echelon supply chain; fuzzy deterioration rate; imperfect production; two warehouses; variable demand rate and inflation.

DOI: 10.1504/IJBPSCM.2023.131678

International Journal of Business Performance and Supply Chain Modelling, 2023 Vol.14 No.2, pp.144 - 172

Received: 11 Sep 2021
Received in revised form: 07 Jul 2022
Accepted: 02 Aug 2022

Published online: 26 Jun 2023 *

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